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Finding the Fourth Proportional to 883.27, 1,317.20 and 834.77

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Solution

The fourth proportional to 883.27, 1,317.20 and 834.77 is: 1,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.27 : 1,317.20 = 834.77 : x
  2. Step 2: Convert to fraction form
    883.27/1,317.20 = 834.77/x
  3. Step 3: Cross multiply
    883.27x = 1,317.20 × 834.77
  4. Step 4: Simplify right side
    883.27x = 1,099,558.16
  5. Step 5: Solve for x
    x = 1,099,558.16/883.27
  6. Step 6: Final answer
    x = 1,244.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.